a)
\(5\dfrac{2}{3}-\dfrac{13}{4}.2\dfrac{2}{5}\)
\(=\dfrac{17}{3}-\dfrac{13}{4}.\dfrac{12}{5}\)
\(=\dfrac{17}{3}-\dfrac{39}{5}\)
\(=\dfrac{85}{15}-\dfrac{117}{15}\)
\(=\dfrac{-32}{15}\)
b)
\(2\dfrac{2}{3}:5\dfrac{2}{9}-4\dfrac{1}{3}\)
\(=\dfrac{8}{3}:\dfrac{47}{9}-\dfrac{13}{3}\)
\(=\dfrac{8}{3}.\dfrac{9}{47}-\dfrac{13}{3}\)
\(=\dfrac{24}{47}-\dfrac{13}{3}\)
\(=\dfrac{72}{141}-\dfrac{611}{141}\)
\(=\dfrac{-539}{141}\)
a: \(=\dfrac{17}{3}-\dfrac{7}{4}\cdot\dfrac{7}{5}=\dfrac{17}{3}-\dfrac{49}{20}=\dfrac{193}{60}\)
b: \(=\dfrac{8}{3}:\dfrac{47}{9}-\dfrac{13}{3}=\dfrac{8}{3}\cdot\dfrac{9}{47}-\dfrac{13}{3}=\dfrac{24}{47}-\dfrac{13}{3}=-\dfrac{539}{141}\)